Answer: The volume of hydrogen at a pressure of 1.06 atm is [tex]189cm^3[/tex]
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=1.06atm\\V_1=?\\P_2=1.00atm\\V_2=200cm^3[/tex]
Putting values in above equation, we get:
[tex]1.06\times V_2=1.00\times 200cm^3\\\\V_2=189cm^3[/tex]
Thus the volume of hydrogen at a pressure of 1.06 atm is [tex]189cm^3[/tex]
