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If the pressure of an ideal gas contains in a closed vessel is increase by 0.5%, the increase in temperature is $2^{0} C$ . The initial temperature of the gas is______in $^{0} C$

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answer is 127.

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Detailed Solution

$\frac{△ P}{P} \times 100 = \frac{△ T}{T} \times 100 \begin{array}{l} 0.5 = \frac{2}{T} \times 100 \\ T = 400 \\ ∴ t = 400 - 273 \\ t = 127^{0} c \end{array}$

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