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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

What happens to the volume of a bicycle tire or a basketball when you use an air pump to add air?

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).

In the fermentation of glucose (winemaking), $780 m L$ of $C O_{2}$ gas was produced at $37 掳 C$ and $1.00 a t m$ . What is the final volume, in liters, of the gas when measured at $22 掳 C$ and $675 m m H g$ . If the amount of gas does not change? $(8.5)$

A sample of Ne gas has a pressure of 654 mmHg with an unknown volume. The gas has a pressure of 345 mmHg when the volume is 495 mL, with no change in temperature or amount of gas. What was the initial volume, in milliliters, of the gas?

Indicate if pressure increase decreases, or stays the same in each of the following: $(8.2, 8.4, 8.6)$

See all solutions

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