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Determine the pressure change when a constant volume of gas at 1.00 atm is heated from 20C to 30C

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Final answer:

The pressure change when a constant volume of gas is heated from 20°C to 30°C is approximately 0.03 atm.

Step-by-step explanation:

According to Charles's Law, when a gas is heated at constant volume, its pressure is directly proportional to its temperature. To determine the pressure change, we can use the formula P₁/T₁ = P₂/T₂, where P₁ is the initial pressure, T₁ is the initial temperature, P₂ is the final pressure, and T₂ is the final temperature.

Given that the initial pressure is 1.00 atm, the initial temperature is 20°C (293 K), and the final temperature is 30°C (303 K), we can plug in these values into the equation to find the final pressure:

P₁/T₁ = P₂/T₂

1.00 atm/293 K = P₂/303 K

Solving for P₂, we get:

P₂ = (1.00 atm/293 K) * 303 K

P₂ ≈ 1.03 atm

Therefore, the pressure change when the constant volume of gas is heated from 20°C to 30°C is approximately 0.03 atm.

User Silvina
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4 votes
P1=1.0atm
P2=?
T1=20c=293k
T2=30c=303k
P1/T1=P2/T2
(P1/T1)T2
(1.00atm/293k)303k=1.03k
User Saiful Azad
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8.8k points