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Figure shows an ideal gas. Its pressure,...

Figure shows an ideal gas. Its pressure, volume and temperature are `P_0, V_0` and `T_0` respectively. Thin U-tube contains mercury. It is seen that when 20 cm of extra mercury is added in limb B of U-tube and temperature of gas is doubled, level of A is maintained at its position. Consider surrounding to be vacuum. Find the initial pressure of gas (in cm of Hg.)

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The correct Answer is:
20
Let initial pressure be `P_0`
If level A is maintained `rArr` volume remains same
Temperature double `rArr` pressure doubles `:." "2P_0 - P_0 = rho g xx20cm " ":." "p_0 ` corresponds to 20 cm of Hg
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