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A gas has a volime of 45.00 mL and a pressure of 760.00 mm. If the pressure increased to 850.00 mm and the temperature stayed the same what is the new volume

Respuesta :

Answer : The  new volume is, 76.00 mL

Explanation :

Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.

[tex]P\propto \frac{1}{V}[/tex]

or,

[tex]P_1V_1=P_2V_2[/tex]

where,

[tex]P_1[/tex] = initial pressure = 760.00 mmHg

[tex]P_2[/tex] = final pressure = 850.00 mmHg

[tex]V_1[/tex] = initial volume = 45.00 mL

[tex]V_2[/tex] = final volume = ?

Now put all the given values in the above equation, we get:

[tex]760.00mmHg\times 85.00mL=850.00mmHg\times V_2[/tex]

[tex]V_2=76.00mL[/tex]

Thus, the  new volume is, 76.00 mL