please help me with gas laws of chemistry

Question

Calculate the temperature of an argon sample at 55.4 kPa and 18.6 L if it occupies 25.8 L at 75.0°C and 41.1 kPa.

A. 65.2°C

B.77.2°C     

C. 95.0°C

D. 72.9°C

E. 85.1°C

Answer 1

To start you need to make sure to convert temperature initially to Kelvins. To answer this question you'll use the ideal gas law(PV=nRT).

Let's look at the information you're given. In one scenario you're given just pressure and volume. In other situation you're given pressure, volume, and temperature. You can use ideal gas law, setting the variables equal to one another to find the answer.

P₁V₁/T₁ = P₂V₂ / T2

Now you just plug in the number to solve for T₁.

(55.4 kPa)(18.6 L) / T₁ = (41.1 kPa)(25.8 L) / (75 +273)

After solving for T₁ and converting back to celsius, you should get 65.2 celsius(Answer A)

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