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Question: A sample of a given mass of a gas at a constant temperature occupies 95cm<sup>2</sup> under a pressu...

A sample of a given mass of a gas at a constant temperature occupies 95cm2 under a pressure of 9.962×104Nm29.962 \times 10^{4}Nm^{- 2}. At the same temperature, it volume at a pressure of 10.13×104Nm210.13 \times 10^{4}Nm^{- 2}is

A

190cm3190cm^{3}

B

93cm393cm^{3}

C

46.5cm346.5cm^{3}

D

47.5cm347.5cm^{3}

Answer

93cm393cm^{3}

Explanation

Solution

P1V1=P2V2P_{1}V_{1} = P_{2}V_{2}

9.962×104×95=10.13×104×V29.962 \times 10^{4} \times 95 = 10.13 \times 10^{4} \times V_{2}

V2 =93cm3