2.00 liters of hydrogen, originally at 25.0 °C and 750.0 mm of mercury, are heated until a volume of 20.0 liters and a pressure of 3.50 atmospheres is reached. What is the new temperature?

 The new temperature is 10643 K

Explanation:

Combined gas law is the combination of Boyle's law, Charles's law and Gay-Lussac's law.

The combined gas equation is,

where,

= initial pressure of gas = 750.0 mm Hg = 0.98 atm   (760mmHg=1atm)

= final pressure of gas = 3.50 atm

= initial volume of gas = 2.00 L

= final volume of gas = 20.0 L

= initial temperature of gas =

= final temperature of gas = ?

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

Thus the new temperature is 10643 K