An evacuated glass vessel weights 40.0g when empty, 135.0g when filled with a liquid of density 0.95 g mL-1 and 40.5 g when filled with an ideal gas at 0.82 atm at 250 K. The molar mass of the gas in g mo-1 is: (Given: R = 0.082 L atm K-1 mol-1)

An evacuated glass vessel weights 40.0g when empty, 135.0g when filled with a liquid of density 0.95 g mL^-¹ and 40.5 g when filled with an ideal gas at 0.82 atm at 250 K. The molar mass of the gas in g mo^-¹ is:

(Given: R = 0.082 L atm K^-¹ mol^-¹)

Option 1 - 35

Option 2 - 50

Option 3 - 75

Option 4 - 125

4 Views|Posted 8 months ago

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Answered by

Payal Gupta | Contributor-Level 10

8 months ago

Correct Option - 4

Detailed Solution:

Wt of liquid = 135 – 40 = 95 gm

Volume of liquid = $\frac{w t .}{d e n s i t y} = \frac{95}{0.95} = 100 m l$

Hence volume of vessel = 100 ml = 0.1 lit from ideal gas equation,

$M = \frac{d R T}{P} = \frac{0.5}{0.1} * \frac{0.0821 * 250}{0.82}$

$∴ M = 125 g / m o l$

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