One litre of a gas weights 2g at 300 K and 1atm pressure. If the pressure is made 0.75 atm, at what temperature will one litre of the same gas weight 1g

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One litre of a gas weights 2g at 300 K and 1atm pressure. If the pressure is made 0.75 atm, at what temperature will one litre of the same gas weight 1g

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600K

800K

900K

450K

answer is D.

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Detailed Solution

$P_{1} = 1 atm$

T=300K

w=2g

V=IL

PV=nRT

$1 \times 1 = \frac{2}{M} \times 0.0821 \times 300$

$M = 2 \times 3 \times 821 \times 10^{- 1}$

$M = 49.26 g$

$p = 0.75 atm$

V=IL

M=492.6g

W=1g

T=?

PV=nRT

$PV = \frac{w}{M} RT$

$T = \frac{0.75 \times 1 \times 49.26}{0.0821} = 450 K$

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