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A sample of a given mass of gas at const...

A sample of a given mass of gas at constant temperature occupies a volume of 95 `cm^(3)` under a pressure of `9.962 xx 10^(4) N m^(-2)`.? At the same temperature its volume at pressure of `10.13 xx 10^(4) Nm^(-2)` is

A

190 `cm^(3) `

B

` 93 cm^(3)`

C

`46.5 cm^(3)`

D

`4.75 cm^(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Applying , `P_1 V_1 = P_2 V_2`
` P_1 = 9.962 xx 10^(4) N m^(-2) , V_1 = 95 cm^(3), P_2 = 10.13 xx 10^(4) N m^(-2) , V_2 = ?`
`V_2 = (9.962 xx 10^(4) xx 95)/(10.13 xx 10^(4)) = 93.4 cm^(3)`
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