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An evacuated glass vessel weighs 50 ,{g} when empty, 148,{ g}

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An evacuated glass vessel weighs $50 g$ when empty, $148 g$ when filled with a liquid of density $0.98 g/mL$ and $50.5 g$ when filled with ideal gas at $760 mmHg$ at $300 K$ . Determine the molar mass of the gas ( $g / m o l$ ) ( up to two decimal places).

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Updated on: May 21, 2023

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An evacuated glass vessel weighs

50 g

when empty,

148 g

when filled with a liquid of density

0.98 g/mL

and

50.5 g

when filled with ideal gas at

760 mmHg

300 K

. Determine the molar mass of the gas (

g / m o l

) ( up to two decimal places).

7 mins ago

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7 mins ago

Text solutionVerified

Density of liquid,

d = 0.98 g / m L

Weight of liquid,

w = 148 - 50 or 98 g

Volume of liquid,

V = \frac{w}{d} = \frac{98}{0.98} = 100 m L or 0.1 L [1 L = 1000 m L]

Weight of gas

= 50.5 - 50.0 or 0.5 g

Pressure,

P = \frac{760}{760} or 1 a t m [760 mm H g = 1 a t m]

P V = n RT [n = \frac{g i v e n ma ss ( w )}{m o l a r ma ss ( M )}]

1 a t m \times 0.1 L = \frac{0.5 g}{M} \times 0.0821 L a t m K^{- 1} m o l^{- 1} \times 300 K

, where R is the universal gas constant.

M = 123.15 g / m o l

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Question Text	An evacuated glass vessel weighs $50 g$ when empty, $148 g$ when filled with a liquid of density $0.98 g/mL$ and $50.5 g$ when filled with ideal gas at $760 mmHg$ at $300 K$ . Determine the molar mass of the gas ( $g / m o l$ ) ( up to two decimal places).
Updated On	May 21, 2023
Topic	States of Matter
Subject	Chemistry
Class	Class 11
Answer Type	Text solution:1 Video solution: 3
Upvotes	421
Avg. Video Duration	7 min

An evacuated glass vessel weighs $50 g$ when empty, $148 g$ when filled with a liquid of density $0.98 g/mL$ and $50.5 g$ when filled with ideal gas at $760 mmHg$ at $300 K$ . Determine the molar mass of the gas ( $g / m o l$ ) ( up to two decimal places).

Text solutionVerified

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An evacuated glass vessel weighs 50g when empty, 148g when filled with a liquid of density 0.98g/mL and 50.5g when filled with ideal gas at 760mmHg at 300K. Determine the molar mass of the gas (g/mol ) ( up to two decimal places).

Text solutionVerified

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An evacuated glass vessel weighs $50 g$ when empty, $148 g$ when filled with a liquid of density $0.98 g/mL$ and $50.5 g$ when filled with ideal gas at $760 mmHg$ at $300 K$ . Determine the molar mass of the gas ( $g / m o l$ ) ( up to two decimal places).