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A sample of gas with a volume of 750 mL exerts a pressure of 98 kPa at 30◦C. What pressure will the sample exert when it is compressed to 250 mL and cooled to −25◦C?

1. 26.7 kPa
2. 359 kPa
3. 353 kPa
4. 241 kPa
5. 39.9 kPa

1 Answer

1 vote

Answer: 4) 241kPa

Step-by-step explanation:

Using the formula for general gas equation

P1V1/T1 = P2V2/T2

P = pressure V = volume T = temperature in Kelvin

Since 0°C = 273K

30°C = 30+273 =303K

-25°C = -25+273 = 248K

Given P1=98kPa V1 =750mL T1 = 303K, P2= ? V2 = 250mL T2 = 248K

Substituting into the formula to get P2, we have

98×750/303 = P2×250/248

P2 = 98×750×248/303×250

P2= 18,228,000/75,750

P2= 241kPa.

User Marco Bolis
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