Question

1. A sample of krypton gas at a pressure of 1.01 atm and a temperature of 29.8 °C, occupies a volume of 11.7 liters. If the gas is compressed at constant temperature to a volume of 6.67 liters, the pressure of the gas sample will be __ atm.

2. A sample of neon gas at a pressure of 0.963 atm and a temperature of 23.5 °C, occupies a volume of 621 mL. If the gas is allowed to expand at constant temperature until its pressure is 0.660 atm, the volume of the gas sample will be mL.

3. A sample of krypton gas at a pressure of 800 mm Hg and a temperature of 32 °C, occupies a volume of 14.8 liters. If the gas is cooled at constant pressure to a temperature of 6 °C, the volume of the gas sample will be L.

4. A sample of neon gas at a pressure of 0.782 atm and a temperature of 244 °C, occupies a volume of 558 mL. If the gas is heated at constant pressure until its volume is 727 mL, the temperature of the gas sample will be °C.

Answer 1

Answer on Question #68969 - Physics | Molecular Physics

1. A sample of krypton gas at a pressure of 1.01 atm and a temperature of $29.8{}^{\circ}\mathrm{C}$ , occupies a volume of 11.7 liters. If the gas is compressed at constant temperature to a volume of 6.67 liters, the pressure of the gas sample will be __ atm.

Solution:

Given:

$P(V_{T}) = 1.01$ atm

$T = 29.8{}^{\circ}C$

$V = 11.7\mathrm{I}$

$V_{1} = 6.67\mathrm{I}$

T=const

$P_{1} - ?$

$P_{V} = P_{1}V_{1}$ , where $P_{1} = \frac{PV}{V_{1}}$

$P_{1} = \frac{1.01 \cdot 11.7}{6.67} = 1.77$ atm.

Answer: 1.77 atm.

2. A sample of neon gas at a pressure of 0.963 atm and a temperature of $23.5{}^{\circ}\mathrm{C}$ , occupies a volume of 621 mL. If the gas is allowed to expand at constant temperature until its pressure is 0.660 atm, the volume of the gas sample will be mL.

Solution:

Given:

$P(V_{T}) = 23.5{}^{\circ}C$

$V = 621\mathrm{ml}$

$P_{1} = 0.660$ atm

T=const

$V_{1} - ?$

$P_{V} = P_{1}V_{1}$ , where $V_{1} = \frac{PV}{P_{1}}$

$V_{1} = \frac{0.963 \cdot 621}{0.66} = 906 \, \text{ml}$

Answer: 906 ml.

3. A sample of krypton gas at a pressure of $800\mathrm{mmHg}$ and a temperature of $32{}^{\circ}\mathrm{C}$ , occupies a volume of 14.8 liters. If the gas is cooled at constant pressure to a temperature of $6{}^{\circ}\mathrm{C}$ , the volume of the gas sample will be L.

Solution:

Answer: 13.5 l.

4. A sample of neon gas at a pressure of 0.782 atm and a temperature of $244{}^{\circ}\mathrm{C}$ , occupies a volume of 558 mL. If the gas is heated at constant pressure until its volume is 727 mL, the temperature of the gas sample will be ${}^\circ \mathrm{C}$ .

Solution:

Answer: 400 °C.

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