Ideal Gas Laws

Question 1

What is the Ideal Gas Equation?

Answer 1

(Pressure)(Volume) = (No. of Moles)(Universal Gas Constant)(Temperature)
PV = nṘT

(Pressure)(Volume) = (Mass)(Gas Constant of air)(Temperature)
PV = mRT

Question 2

What is the formula for Gas Constant (R)?

Answer 2

Gas Constant = (Universal Gas Constant)/(Molar Weight)

R = (Ṙ)/(MW)

Question 3

What is the gas constant of air in terms of kJ / kg - K?

Answer 3

R air = 0.28708 kJ / kg - K

Question 4

What is the gas constant of air in terms of ft - lbf / lbm - R?

Answer 4

R air = 53.34 ft - lbf / lbm - R

Question 5

What is the universal gas constant in terms of kJ / kmol - K?

Answer 5

Ṙ = 8.314 kJ / kmol - K

Question 6

What is the universal gas constant in terms of L - atm / mol - K?

Answer 6

Ṙ = 0.0821 L - atm / mol - K

Question 7

What is the universal gas constant in terms of ft - lbf / pmol - R?

Answer 7

Ṙ = 1545 ft - lbf / pmol - R

Question 8

What is the equation for Boyle’s Law?

Answer 8

(P1)(V1) = (P2)(V2)

Question 9

What is the equation for Charles’ Law?

Answer 9

(V1)/(T1) = (V2)/(T2)

Question 10

What is the equation for Amonton’s Law?

Answer 10

(P1)/(T1) = (P2)/(T2)

Question 11

What is the equation for Combined Gas Law?

Answer 11

(P1)(V1)/(T1) = (P2)(V2)/(T2)

Question 12

What is the formula for heat at constant pressure?

Answer 12

Q = (m)(Cp)(△T)

Question 13

What is the formula for heat at constant volume?

Answer 13

Q = (m)(Cv)(△T)

Question 14

What is the relationship of Cp, Cv, and R?

Answer 14

Cp = Cv + R

Cv = (R)/(k-1)

Cp = (k)(R)/(k-1) = (k)(Cv)

Question 15

What is the formula for the specific heat ratio?

Answer 15

k = (Cp)/(Cv)

Question 16

What is the specific heat at constant pressure of air in terms of kJ / kg - K?

Answer 16

Cp air = 1.0048 kJ / kg - K

Question 17

What is the specific heat at constant pressure of air in terms of BTU / lbm - R?

Answer 17

Cp air = 0.24 BTU / lbm - R

Question 18

What is the specific heat at constant volume of air in terms of kJ / kg - K?

Answer 18

Cv air = 0.7177 kJ / kg - K

Question 19

What is the specific heat at constant volume of air in terms of BTU / lbm - R?

Answer 19

Cp air = 0.1714 BTU / lbm - R

Question 20

What is the specific heat ratio for air?

Answer 20

k = 1.4

Question 21

What is the specific heat at constant pressure of water in terms of kJ / kg - K?

Answer 21

Cp = 4.187 kJ / kg - K

Question 22

What is the specific heat at constant pressure of water in terms of BTU / lbm - R?

Answer 22

Cp = 1 BTU / lbm - R

Question 23

What is the specific heat ratio for monoatomic gas?

Answer 23

k = 1.667

Question 24

What is the specific heat ratio for diatomic gases?

Answer 24

k = 1.4

Question 25

What is the specific heat ratio for other gases?

Answer 25

k = 1.3