For a certain gas the heat capacity at constant pressure is greater than that at constant volume by $29.1 J / K$ . How many moles of the gas are there?

13.5 m o l

No worries! We‘ve got your back. Try BYJU‘S free classes today!

9.5 m o l

No worries! We‘ve got your back. Try BYJU‘S free classes today!

7.5 m o l

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3.5 m o l

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $3.5 m o l$
We know that for one mole of gas,

$C_{P} - C_{V} = 8.32 J / K$

Hence, for n moles,

$n (C_{P} - C_{V}) = 8.32 n = 29.1$

$n = 3.5 m o l$

Answer is $3.5 m o l$

Suggest Corrections

Similar questions

29.1 J / K

29.1 J / K

29.1 J / K

29.1 J/K

\begin{matrix} Column I & Column II i. If the gas is monoatomic, heat capacity at constant volume & a. 131 J/K ii. If the gas is monoatomic, heat capacity at constant pressure & b. 43.7 J/K iii. If the gas is rigid diatomic, heat capacity at constant pressure & c. 72.7 J/K iv. If the gas is vibrating diatomic, heat capacity at constant pressure & d. 102 J/K \end{matrix}

List 1	List 2
If the gas is monatomic, heat capacity at constant volume	131 J/K
If the gas monatomic, heat capacity at constant pressure	43.7 J/K
If the gas is rigid diatomic, heat capacity at constant pressure	72.7 J/K
If the gas is vibrating diatomic, heat capacity at constant pressure	102 J/K

Join BYJU'S Learning Program