10 mole of an ideal gas is undergoing the process shown in the figure. The heat involved in the process from to is Joule ( and , , ). The value of is _______. [2026]

Question

10 mole of an ideal gas is undergoing the process shown in the figure. The heat involved in the process from $P_{1}$ to $P_{2}$ is $α$ Joule ( $P_{1} = 21.7 Pa$ and $P_{2} = 30 Pa$ , $C_{v} = 21 J/K.mol$ , $R = 8.3 J/mol.K$ ). The value of $α$ is _______. [2026]

Smart Achievers · Accepted Answer

(4)

$Δ Q = n C_{v} Δ T (isochoric)$

$= \frac{C_{v}}{R} n R Δ T = \frac{C_{v}}{R} (P_{2} - P_{1}) V$

$= \frac{21}{8.3} \times (30 - 21.7) \times 1 = 21 J$

Solution

Q.
10 mole of an ideal gas is undergoing the process shown in the figure. The heat involved in the process from $P_{1}$ to $P_{2}$ is $α$ Joule ( $P_{1} = 21.7 Pa$ and $P_{2} = 30 Pa$ , $C_{v} = 21 J/K.mol$ , $R = 8.3 J/mol.K$ ). The value of $α$ is _______. [2026]

1 28

2 24

3 15

4 21

Ans.
(4)

$Δ Q = n C_{v} Δ T (isochoric)$

$= \frac{C_{v}}{R} n R Δ T = \frac{C_{v}}{R} (P_{2} - P_{1}) V$

$= \frac{21}{8.3} \times (30 - 21.7) \times 1 = 21 J$

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