PPE 1

Methane Gas: Find mass of ice given HV, nth, Tice, Twater, V, P, Tf

Qtotal = Qtw-tf + Qtf + Qtf-tice

Qtw-tf = mw x Cpw x (Tw-Tf)

Qtf = mice x LHf

Qtf-tice = mice x Cpice x (Tf-Tice)

Methane Gas: Cpwater, Cpice, LHf, LHv

Cpwater = 4.187 kJ/kg-K

Cpice = 2.09 kJ/kg-K

LHf = 334 kJ/kg

LHv = 2257 kJ/kg

Methane Gas: Find Qtotal given HV, nth, Tice, Twater, V, P, Tf

nth = Qtotal / Qa

Methane Gas: Find Qa given HV, nth, Tice, Twater, V, P, Tf

Qa = mf HV

Methane Gas: Find mf given HV, nth, Tice, Twater, V, P, Tf

PV = mf R T

Methane Gas: MW of methane

MW = 16

Methane Gas: 1 kcal = ? kJ

1 kcal = 4.187 kJ

Methane Gas: 1 mole = ? MW of methane

1 mole = 16 gr of methane

Methane Gas: 1 atm = ? kPa

1 atm = 101.325 kPa

Actual Draft: Find height given hwa, losses, Tfg, MW, Ta, Pa

h = draft / (pa - pg) g

Actual Draft: Find draft given hwa, losses, Tfg, MW, Ta, Pa

draft = pw g hwt

h = pw hwt / (pa - pg)

Actual Draft: Find hwt given hwt, losses, Tfg, MW, Ta, Pa

1 - Loss = hwa / hwt

Actual Draft: Find pa and pfg given hwt, losses, Tfg, MW, Ta, Pa

pa = Pa / Ra Ta

pfg = Pfg / Rfg Tfg

PCF and PUF: Find PCF given LF, PC, RES, hrs out,

PCF = Ave.Load / PC

PCF and PUF: Find Ave.Load given LF, PC, RES, hrs out,

LF = Ave. Load / Peak

PCF and PUF: Find Peak given LF, PC, RES, hrs out,

Peak = PC - RES

PCF and PUF: Find PUF given LF, PC, RES, hrs out,

PUF = AEP / PC(hrs) = Ave.Load(8760) / PCS(hrs) = Peak / PC = CF / LF

PCF and PUF: Find AEP given LF, PC, RES, hrs out,

AEP = Ave.Load (8760)

PCF and PUF: Find hrs given LF, PC, RES, hrs out,

hrs = 8760 - hrs out

Hours out: Find hours out given LF, PCF, PUF, RES

hrs = 8760 - hrs out

Hours out: Find hrs given LF, PCF, PUF, RES

PUF / PCF = 8760 / hrs

Ash and Moisture: Find Vfg given S, H, O, C, N, mcoal, e, Pa, Ta, MW, Tfg, H, Cv, vg, nf, ht

Vfg = Mfg / pfg

Ash and Moisture: Find pfg given S, H, O, C, N, mcoal, e, Pa, Ta, MW, Tfg, H, Cv, vg, nf, ht

pfg = Pa / Rfg Tfg

Ash and Moisture: Find Mfg given S, H, O, C, N, mcoal, e, Pa, Ta, MW, Tfg, H, Cv, vg, nf, ht

Mfg = mfg x mcoal

Ash and Moisture: Find mfg given S, H, O, C, N, mcoal, e, Pa, Ta, MW, Tfg, H, Cv, vg, nf, ht

mfg = 11/3 C + 2S + 9H + (N+A/Fa(0.769)) + O/F(e)

Ash and Moisture: Find A/Fa given S, H, O, C, N, mcoal, e, Pa, Ta, MW, Tfg, H, Cv, vg, nf, ht

A/Fa = A/F(1+e)

Ash and Moisture: Find A/F given S, H, O, C, N, mcoal, e, Pa, Ta, MW, Tfg, H, Cv, vg, nf, ht

A/F = O/F / 0.231

Ash and Moisture: Find O/F given S, H, O, C, N, mcoal, e, Pa, Ta, MW, Tfg, H, Cv, vg, nf, ht

O/F = 8/3 C + 8(H - O/8) + S

Ash and Moisture: Find BP given S, H, O, C, N, mcoal, e, Pa, Ta, MW, Tfg, H, Cv, vg, nf, ht

BP = (Head x Va x p x g) / nf

Ash and Moisture: Find Va given S, H, O, C, N, mcoal, e, Pa, Ta, MW, Tfg, H, Cv, vg, nf, ht

ma = pa Va

Ash and Moisture: Find pa given S, H, O, C, N, mcoal, e, Pa, Ta, MW, Tfg, H, Cv, vg, nf, ht

pa = Pa / Ra Ta

Ash and Moisture: Find ma given S, H, O, C, N, mcoal, e, Pa, Ta, MW, Tfg, H, Cv, vg, nf, ht

ma = A/Fa x mcoal

Ash and Moisture: Find height given S, H, O, C, N, mcoal, e, Pa, Ta, MW, Tfg, H, Cv, vg, nf, ht

H = draft / (pa-pg) g

H = pgh / (pa-pg) g

H = p h / (pa-pg)

Ash and Moisture: Find diameter given S, H, O, C, N, mcoal, e, Pa, Ta, MW, Tfg, H, Cv, vg, nf, ht

D = sqrt((4Vfg)/pi Cv vg)

90 min test: Find Exhaust enthalpy at the turbine given time, BP, P1, T1, ms, initial meter, final meter, Vw, Tw1, Tw2, n_m-e, hs

90 min test: Find EP given time, BP, P1, T1, ms, initial meter, final meter, Vw, Tw1, Tw2, n_m-e, hs

EP = (final meter - initial meter) / Time

90 min test: 1 kg = ? lb

1 kg = 2.205 lb

90 min test: Find Enthalpy of water at condenser pressure given time, BP, P1, T1, ms, initial meter, final meter, Vw, Tw1, Tw2, n_m-e, hs

mw Cpw Tw = ms (h2’ - hf)

90 min test: 1 ft³ = ? gal

1 ft³ = 7.48 gal

90 min test: Find Station Heat Rate given time, BP, P1, T1, ms, initial meter, final meter, Vw, Tw1, Tw2, n_m-e, hs

SHR = (ms (hs - hf)) / EP

Certain Boiler: Find heat carried by flu gas given P1, Tw1, mw, mcoal, mrefuse, S, H, O, C, N, Ash, HV, CO2, CO, O, N, Troom, Tfg, Cpfg

Qdg = mdg x Cpdg x (Tfg - Troom

Certain Boiler: Find mdg given P1, Tw1, mw, mcoal, mrefuse, S, H, O, C, N, Ash, HV, CO2, CO, O, N, Troom, Tfg, Cpfg

Certain Boiler: Find C_ab given P1, Tw1, mw, mcoal, mrefuse, S, H, O, C, N, Ash, HV, CO2, CO, O, N, Troom, Tfg, Cpfg

Volume in Gallons: Find volume in gallons given time, API, BP, %FL, %3/4, %idle, mfr_FL, mfr_3/4, To

mtotal = pfuel Vtotal

Volume in Gallons: Find pfuel given time, API, BP, %FL, %3/4, %idle, mfr_FL, mfr_3/4, To

pfuel = px (1-0.0004(To - Tx))

Note: Tx is 60 in fahrenheit on lecture even if not given

Volume in Gallons: Find px given time, API, BP, %FL, %3/4, %idle, mfr_FL, mfr_3/4, To

px = p x SG

Volume in Gallons: Find SG given time, API, BP, %FL, %3/4, %idle, mfr_FL, mfr_3/4, To

SG = 141.5 / (131.5 + API)

Volume in Gallons: Find mtotal given time, API, BP, %FL, %3/4, %idle, mfr_FL, mfr_3/4, To

mtotal = m_FL + m_3/4 + m_idle

Volume in Gallons: Find m_x given time, API, BP, %FL, %3/4, %idle, mfr_FL, mfr_3/4, To

m_x = mfr_x (BP) (Time_x)

Volume in Gallons: Find Time_x given time, API, BP, %FL, %3/4, %idle, mfr_FL, mfr_3/4, To

Time_x = Time (%x)

Volume in Gallons: 1 ft³ = ? gal

1 ft³ = 7.48 gal

Froud Hydraulic Dynamometer: Find BPx given D, L, stroke, acting, nc, k, Fx, mfx

BPx = (Fx(N)) / k

Froud Hydraulic Dynamometer: Find BSFCx given D, L, stroke, acting, nc, k, Fx, mfx

BSFCx = mfx / BPx

Froud Hydraulic Dynamometer: Find Pmbx given D, L, stroke, acting, nc, k, Fx, mfx

Pmbx = BPx / Vd

Froud Hydraulic Dynamometer: Find Vd given D, L, stroke, acting, nc, k, Fx, mfx

Vd = pi/4 D² L N nc stroke acting

Froud Hydraulic Dynamometer: 1 hp = ? lb-ft/min

1 hp = 33000 lb-ft/min

Froud Hydraulic Dynamometer: 1 hp = ? lb-ft/sec

1 hp = 550 lb-ft/sec

Gas Turbine Unit: Find combustor efficiency given P1, T1, V1, P2, T2, V2, HV, F/A

Make sure the units of kj and J are the same