The pressure of the gas will become double when its Kelvin temperature becomes [tex]\boxed{{\text{twice}}}[/tex] its initial value.
Further Explanation:
Ideal gas equation:
Ideal gas is just a theoretical concept and practically no gas can act as ideal. It can be considered as group of random moving particles having perfectly elastic collisions between them.
Ideal gas equation for one mole of gas is mentioned below.
PV = RT …… (1)
Here,
P is the gas pressure.
V is the gas volume.
T is the absolute temperature of gas.
R is the universal gas constant.
Standard conditions refer to state when pressure of gas is 1 atm and its temperature is 273 K.
Consider P’ and T’ to be new pressure and temperature respectively while all other terms in ideal gas equation remains constant. Equation (1) then modifies as follows:
P’V = RT’ …… (2)
Since new pressure is doubled, P’ becomes 2P. Equation (2) becomes,
(2P)V = RT’ …… (3)
Dividing equation (3) by equation (1), we get:
[tex]\dfrac{{\left( {{\text{2P}}} \right){\text{V}}}}{{{\text{PV}}}} = \dfrac{{{\text{RT'}}}}{{{\text{RT}}}}[/tex] …… (4)
Solving for T’,
[tex]{\text{T'}} = {\text{2T}}[/tex]
Therefore pressure is doubled when temperature becomes twice its initial value.
Learn more:
- Which statement is true for Boyle’s law? https://brainly.com/question/1158880
- Calculation of volume of gas: https://brainly.com/question/3636135
Answer details:
Grade: Senior School
Subject: Chemistry
Chapter: Ideal gas equation
Keywords: ideal gas equation, R, T, P, V, 2P, 2T, pressure, volume, universal gas constant, P’, T’, standard conditions.
