Question

За температури 280 К об'єм газу 49 л. Визначте, яким стане об'єм газу після нагрівання до 360 К і підвищення тиску у 3 рази

Answer 1

Ответ:

V1=5 м3 T1=273+20=293 K p1=101*10^3 Па p2=4*p1 T2=273+25=298 K V2=?

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p1*V1/T1=p2*V2/T2=4*p1*V2/T2

V2=V1*T2/(4*T1)=5*298/(4*293)=1.27 м3

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Answer 2

Calculation of the Final Volume of Gas

To determine the final volume of gas after heating to 360 K and increasing the pressure by 3 times, we can use the combined gas law. The combined gas law states that the ratio of the initial pressure, volume, and temperature of a gas to the final pressure, volume, and temperature of the gas is constant, provided the amount of gas remains constant.

The formula for the combined gas law is:

(P1 * V1) / T1 = (P2 * V2) / T2

Where: - P1 is the initial pressure of the gas - V1 is the initial volume of the gas - T1 is the initial temperature of the gas - P2 is the final pressure of the gas - V2 is the final volume of the gas - T2 is the final temperature of the gas

Given: - Initial temperature (T1) = 280 K - Initial volume (V1) = 49 L - Final temperature (T2) = 360 K - Pressure increase (P2 / P1) = 3

We need to find the final volume of the gas (V2).

To solve for V2, we can rearrange the formula as follows:

V2 = (P2 * V1 * T2) / (P1 * T1)

Substituting the given values into the formula:

V2 = (3 * 49 * 360) / (1 * 280)

Calculating the value:

V2 = 62.14 L

Therefore, the final volume of the gas after heating to 360 K and increasing the pressure by 3 times will be approximately 62.14 liters.

Please note that the above calculation assumes that the amount of gas remains constant.