What would be the final volume of 4 ft3 of gas that is compressed from 60°F at 70 psig to 150° at 210 psig?

Answers

Answer 1

Answer: 1.8 cubic feet

Explanation: I got it of unit 10 flashcrads it told be the answer :D

Answer 2

The final volume of 4 ft³ of gas that is compressed from 60°F at 70 psig to 150° at 210 psig is 3.33ft³

According to the general gas equation;

[tex]\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}[/tex]

P1 and P2 are the initial and final pressures respectively

V1 and V2 are the initial volumes and final volume respectively

T1 and T2 are the initial temperatures and final temperature respectively

Given the following parameters

V2 = 4ft³

T1 = 60°F

T2 = 150°F

P1 = 7psig

P2 = 210psig

Substitute the given parameters into the formula as shown:

[tex]\frac{70 \times 4}{60} =\frac{210 \times V_1}{150}\\Cross \ multiply\\280 \times 150 = 60 \times 210V_1\\ 42,000=12,600V_1\\V_1=\frac{42000}{12600}\\V_1= 3.33ft^3[/tex]

Hence the final volume of 4 ft³ of gas that is compressed from 60°F at 70 psig to 150° at 210 psig is 3.33ft³

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