Q139 / 160 · TS EAMCET 2022 (18 Jul Shift 2) · Physics

A diatomic gas $(C_{P} = \frac{7}{2} R)$ does $200 J$ of work when it is expanded isobarically. The heat given to the gas in the process is

A
$600 J$
B
$800 J$
C
$900 J$
Correct answer
D
$700 J$

Solution

According to the first law of thermodynamics, heat given to a system is equal to the work done by the gas plus change in internal energy. Therefore,
$∆ Q = ∆ U + W$
Work done for isobaric process is given by,
$W = n R ∆ T \Rightarrow n R ∆ T = 200 J$
Heat given in isobaric process will be,
$∆ Q = n C_{P} ∆ T = \frac{7}{2} n R T \Rightarrow ∆ Q = 700 J$

Hence, the correct answer is option: 'D'.

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A diatomic gas CP=72R does 200 J of work when it is expanded isobarically. The heat given to the gas in the process is

Solution

Relevant Questions

A diatomic gas $(C_{P} = \frac{7}{2} R)$ does $200 J$ of work when it is expanded isobarically. The heat given to the gas in the process is