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An inflated rubber balloon contains one mole of an ideal gas, has a pressure p, volume V and temperature T. If temperature rises to 1.1 T and the volume is increased to 1.05 V,the final pressure will increase by _______%. Give answer to nearest integer

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answer is 5.

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Detailed Solution

Here $ρ_{1} = ρ, V_{1} = V, T_{1} = T$
$T_{2} = 1, 1 T, V_{2} = 1.05 V, ρ_{2} = ?$
From $\frac{p_{2} V_{2}}{T_{2}} = \frac{p_{1} V_{1}}{T_{1}}$
$P_{2} = p_{1} \frac{V_{1}}{V_{2}} . \frac{T_{2}}{T_{1}}$

$= p \times \frac{V}{1.05 V} \times 1.1 \frac{T}{T} = 1.1 \frac{p}{1.05} p_{2} = 1.05 p$

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