Answer: 7L
Explanation:
To calculate the new volume, we use the equation given by Boyle's law. This law states that pressure is directly proportional to the volume of the gas at constant temperature.
The equation given by this law is:
[tex]P_1V_1=P_2V_2[/tex]
where,
[tex]P_1\text{ and }V_1[/tex] are initial pressure and volume.
[tex]P_2\text{ and }V_2[/tex] are final pressure and volume.
We are given:
[tex]P_1=1040torr=1.4atm(1torr=0.0013atm)\\V_1=5.00L\\P_2=1atm\\V_2=?[/tex]
Putting values in above equation, we get:
[tex]1.4\times 5.0L=1atm\times V_2\\\\V_2=7L[/tex]
The volume would be 7L at pressure of 1.00 atm at 50.0°C.
The new volume in which the same sample of gas will exert a pressure of 1 atm is 6.84 L
The new volume of the gas can be obtained by using the Boyle's law equation as illustrated below:
P₁V₁ = P₂V₂
1040 × 5 = 760 × V₂
Divide both side by 760
V₂ = (1040 × 5) / 760
V₂ = 6.84 L
Learn more about gas laws:
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