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Molar and Specific Heat Capacity

A sample of o...

Question

A sample of oxygen gas expands its volume from $3 L t o 5 L$ against a constant pressure of $3 a t m$ . If work done during expansion is used to heat 10 mole of water initially present at $290 K$ , its final temperature will be (specific heat capacity of water = 4.18 J/kg):

292.0 K

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298.0 K

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290.8 K

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293.7 K

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Solution

The correct option is A $290.8 K$
Work done during expansion is equal to the heat supplied to water to raise the temperature.
$P (V_{2} - V_{1}) = m S Δ T$
$3 \times 2 \times 101.3 = 180 \times 4.18 (T_{f} - 290)$
$T_{f} = 290.8 K$

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