AP EAMCET · PHYSICS · Thermodynamics

The amount of heat that must be supplied to $35 g$ of oxygen at room temperature to raise its temperature by $80 ° C$ at constant volume is (molecular mass of oxygen is $32$ and $R = 8.3 J {mol}^{- 1} K^{- 1}$ )

A $2.84 kJ$
B $1.68 kJ$
C $1.81 kJ$
D $2.88 kJ$

Verified Solution

Answer & Solution

Correct Answer

(C) $1.81 kJ$

Step-by-step Solution

Detailed explanation

The expression for the heat supplied at constant volume, Q=nCvdT Q=mMCνdT For oxygen, Specific heat at constant volume Cv=f2RT=52RT (f=Degree of freedom) Substitute the given values in the above equation. Q=353252R 80 Q=353252×8.31 80 Q=1817.812 J…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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The amount of heat that must be supplied to 35 g of oxygen at room temperature to raise its temperature by 80 °C at constant volume is (molecular mass of oxygen is 32 and R=8.3 J mol-1 K-1)

Step-by-step Solution

The amount of heat that must be supplied to $35 g$ of oxygen at room temperature to raise its temperature by $80 ° C$ at constant volume is (molecular mass of oxygen is $32$ and $R = 8.3 J {mol}^{- 1} K^{- 1}$ )