Answer:
The new pressure at constant volume is 1066.56 kPa
Explanation:
Assuming constant volume, the pressure is diectly proportional to the temperature of a gas.
Mathematically, P1/T1 = P2 /T2
P1 = 880 kPA= 880 *10^3 Pa
T1 = 250 K
T2 = 303 K
P2 =?
Substituting for P2
P2 = P1 T2/ T1
P2 = 880 kPa * 303 / 250
P2 = 266,640 kPa/ 250
P2 = 1066.56 kPa.
The new pressure of the gas is 1066.56 kPa
At constant volume, if the temperature of the container is heated to the given value, the pressure of the gas increases to 1066.5kPa.
Gay-Lussac's law states that the pressure exerted by a given quantity of gas varies directly with the absolute temperature of the gas.
It is expressed as;
P₁/T₁ = P₂/T₂
Given the data in the question;
P₁/T₁ = P₂/T₂
P₁T₂ = P₂T₁
P₂ = P₁T₂ / T₁
P₂ = (8.68492atm × 303K) / 250K
P₂ = (2631.53atmK) / 250K
P₂ = 10.526atm
P₂ = (10.526 × 101.325)kPa
P₂ = 1066.5kPa
Therefore, at constant volume, if the temperature of the container is heated to the given value, the pressure of the gas increases to 1066.5kPa.
Learn more about Gay-Lussac's law here: brainly.com/question/1358307
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