A gas occupies 0.19 L when the temperature is 20°C and the pressure is 9.97 × 104 Pa. Its mass is 0.132 g. This gas may be ______.

Introduction to General, Organic and Biochemistry
11th Edition
ISBN:9781285869759
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Publisher:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Chapter5: Gases, Liquids, And Solids
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Problem 5.107P: 5-107 If 60.0 g of NH3 occupies 35.1 L under a pressure of 77.2 in. Hg, what is the temperature of...
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A gas occupies 0.19 L when the temperature is
20°C and the pressure is 9.97 × 104 Pa. Its mass is
0.132 g. This gas may be ______.

Expert Solution
Step 1

The gas can be identified by measuring the molar mass of gas. The molar mass of the gas is measured by the ideal gas equation. For the ideal gas, the temperature pressure and the volume are related by the ideal gas equation. The ideal gas equation is given by:

Chemistry homework question answer, step 1, image 1

Here, P =pressure of the gas = 9.97 × 104 Pa= 0.984 atm

V = volume of the gas = 0.19 L

n = number of moles of the gas = ?

R = gas constant = 0.08205 L.atm.K-1mol-1

T = absolute temperature = 20oC = 20+273.15 = 293.15 K

Step 2

By rearranging the above equation, we get:

Chemistry homework question answer, step 2, image 1

Let's put the above value into the formula:

Chemistry homework question answer, step 2, image 2

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