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Question

Question: A gas occupies a volume of \(300cm^{3}\)at \(27^{0}C\)and 620 mm pressure. The volume of gas at \(47...

A gas occupies a volume of 300cm3300cm^{3}at 270C27^{0}Cand 620 mm pressure. The volume of gas at 470C47^{0}Cand 640 mm pressure is

A

260cm3260cm^{3}

B

310cm3310cm^{3}

C

390cm3390cm^{3}

D

450cm3450cm^{3}

Answer

310cm3310cm^{3}

Explanation

Solution

: P1V1T1=P2V2T2620×300300=640×V2320\frac{P_{1}V_{1}}{T_{1}} = \frac{P_{2}V_{2}}{T_{2}} \Rightarrow \frac{620 \times 300}{300} = \frac{640 \times V_{2}}{320}

V2=620×300×320640×300=310cm3V_{2} = \frac{620 \times 300 \times 320}{640 \times 300} = 310cm^{3}