10 mole of oxygen is heated at constant volume from 30°C to 40°C. The change in the internal energy of the gas is __________ cal. [2026]

Question

10 mole of oxygen is heated at constant volume from 30°C to 40°C. The change in the internal energy of the gas is __________ cal. (The molecular specific heat of oxygen at constant pressure, $C_{P} = 7 cal./mol ° C and R=2 cal./mol°C$ [2026]

Smart Achievers · Accepted Answer

(500)

$Δ U = n C_{V} Δ T$

$= n (C_{P} - R) Δ T$

$= 10 (7 - 2) (40 - 30)$

$Δ U = 500$

Solution

Q.
10 mole of oxygen is heated at constant volume from 30°C to 40°C. The change in the internal energy of the gas is __________ cal. (The molecular specific heat of oxygen at constant pressure, $C_{P} = 7 cal./mol ° C and R=2 cal./mol°C$ [2026]

Ans.
(500)

$Δ U = n C_{V} Δ T$

$= n (C_{P} - R) Δ T$

$= 10 (7 - 2) (40 - 30)$

$Δ U = 500$

Want Us to Email you About Special Offers & Updates?

Solution

Q. 10 mole of oxygen is heated at constant volume from 30°C to 40°C. The change in the internal energy of the gas is __________ cal. (The molecular specific heat of oxygen at constant pressure, CP=7 cal./mol°C and R=2 cal./mol°C [2026]

Ans. (500) ΔU=nCVΔT =n(CP-R)ΔT =10(7-2)(40-30) ΔU=500

Want Us to Email you About Special Offers & Updates?

Q.
10 mole of oxygen is heated at constant volume from 30°C to 40°C. The change in the internal energy of the gas is __________ cal. (The molecular specific heat of oxygen at constant pressure, $C_{P} = 7 cal./mol ° C and R=2 cal./mol°C$ [2026]

Ans.
(500)

$Δ U = n C_{V} Δ T$

$= n (C_{P} - R) Δ T$

$= 10 (7 - 2) (40 - 30)$

$Δ U = 500$