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Chapter 8: Q. 8.74 (page 282)

A fire extinguisher has a pressure of $10 a t m$ at $25 掳 C$ . What is the final pressure, in atmospheres, when the fire extinguisher is used at a temperature of $75 掳 C$ , if $V a n d n$ do not change?

Short Answer

Expert verified

The final pressure of fire extinguisher is $11.67 a t m$ .

Step by step solution

01

Given Information

We have given the pressure of the fire extinguisher is $10 a t m$ and the temperature is $25 掳 C$ .

02

Explanation

Considering the Gay- Lussac's Law that if a constant volume and amount of gas are maintained, the pressure will be increased. In the temperature-pressure relationship which is known as Gay-Lussac's law, the pressure of a gas decreases, and a decrease in temperature decreases the pressure of the gas till the volume of the gas doesn't change. i.e.

$\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}} . . . (1)$

03

Calculation

Here we have the quantities available, that is

the initial temperature $T_{1} = 25 掳 C = (25 + 273) K = 298 K$ ,

initial pressure $P_{1} = 10 a t m$

and the final temperature $T_{2} = 75 掳 C = (75 + 273) K = 348 K$

Calculating the final pressure $P_{2}$ , from equation $(1)$

$P_{2} = \frac{P_{1} 脳 T_{2}}{T_{1}}$

Using the values

$P_{2} = \frac{10 a t m 脳 348 K}{298 K} P_{2} = 11.67 a t m$

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Most popular questions from this chapter

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)? $(8.5)$

A gas mixture containing oxygen, nitrogen, and neon exerts a total pressure of $1.20 a t m$ . If helium added to the mixture increases the pressure to $1.50 a t m$ , what is the partial pressure, in atmospheres, of the helium?

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. $15.4 a t m a n d - 15 掳 C$

Cyclopropane, C₃H_6, is a general anesthetic. A 5.0-L sample has a pressure of 5.0 atm. What is the final volume, in liters, of this gas given to a patient at a pressure of 1.0 atm with no change in temperature and amount of gas?

Indicate which diagram $(1, 2 o r 3)$ represents the volume of the gas sample in a flexible container when each of the following changes $(a t o b)$ takes place: $(8.2, 8.3)$

a. Temperature increases if the pressure does not change.

b. Temperature decreases if the pressure does not change.

c. Atmospheric pressure decreases if the temperature does not change.

d. Doubling the atmospheric pressure and doubling the Kelvin temperature.

See all solutions

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