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Chapter 8: Q. 8.82 (page 283)

You are doing research on the planet $X$ . The temperature inside the space station is carefully controlled $24 掳 C$ and the pressure is $775 m m H g$ . Suppose that a balloon, which has a volume of $850 m L$ inside the space station, is placed into the airlock, and floats out to planet $X$ . If the planet $X$ has an atmospheric pressure of $0.150 a t m$ and the volume of the balloon changes to $3.22 L$ , what is the temperature, in degree Celsius, on the planet $X$ ( $n$ does not change)? $(8.5)$

Short Answer

Expert verified

On the planet $X$ , the temperature islocalid="1652629204604" $103 掳 C$ .

Step by step solution

01

Given Information

We need to find the temperature, on the planet $X$ .

02

Simplify

Here,

initial pressure is $P_{1} = 0.99 a t m$

initial volume is $V_{1} = 0.85 L$

initial temperature is localid="1652627915979" $T_{1} = 297 K = (297 - 273) 掳 C = 24 掳 C$

final pressure is $P_{2} = 0.15 a t m$

final volume is $V_{2} = 3.22 L$

Now, calculating the final temperature $T_{2}$ is:

localid="1652629213454" $T_{2} = \frac{P_{2} 脳 V_{2} 脳 T_{1}}{P_{1} 脳 V_{1}} = \frac{0.15 a t m 脳 3.22 L 脳 297 K}{0.99 a t m 脳 0.85 L} = 170 K = (170 - 273) 掳 C = 103 掳 C$

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Most popular questions from this chapter

In a gas mixture, the partial pressures are nitrogen $425 T o r r$ , oxygen $115 T o r r$ , and helium $225 T o r r$ . What is the total pressure, in Torr, exerted by the gas mixture?

A sample of argon gas has a volume of $735 m L$ at a pressure of $1.20 a t m$ and a temperature of $112 掳 C$ . What is the final volume of the gas, in milliliters, when the pressure and temperature of the gas sample are changed to the following if the amount of the gas does not change?

a. $658 m m H g a n d 281 K$

b. $0.55 a t m a n d 75 掳 C$

c. $15.4 a t m a n d - 15 掳 C$

Use the kinetic molecular theory of gases to explain each of the following:

a. Gases move faster at higher temperatures.

b. Gases can be compressed much more easily than liquids or solids.

c. Gases have low densities.

A gas has a volume of $4.00 L$ at $0 掳 C .$ What final temperature, in degrees Celsius, is needed to change the volume of the gas to each of the following, if $P$ and $n$ do not change?

a. localid="1654147244427" $1.50 L$

b . localid="1654147258094" $1200 mL$

c. localid="1654147278616" $10.0 L$

d.localid="1654147293745" $50.0 mL$

A balloon is filled with helium gas at a partial pressure of $1.00 a t m$ and neon gas with a partial pressure of $0.50 a t m$ . For each of the following changes (a to e) of the initial balloon, select the diagram (A, B, or C) that shows the final volume of the balloon: $(8.2, 8.3, 8.6)$

a. The balloon is put in a cold storage unit ( $P a n d n$ do not change).

b. The balloon floats to a higher altitude where the pressure is less ( $n a n d T$ do not change).

c. All of the neon gas is removed ( $T a n d P$ do not change).

d. The Kelvin temperature doubles and half of the gas atoms leak out ( $P$ does not change).

e. $2.0 m o l e s o f O_{2}$ gas is added ( $T a n d P$ do not change).

See all solutions

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