If the temperature of a gas is increase by 10 x , what will happen to the volume?

a) it will decrease by -10.

b) it will increase by +10.

c) it will decrease by 1/10.

d) it will increase by 10x.

-- None of the choices answers the question correctly.  It's not that simple.

The only thing you can say about the result is that the product of (pressure)x(volume) will increase by 10x.

-- You can keep the volume of the gas constant if you want to, while it gets 10x hotter.  (Just keep it in the same bottle and don't let it expand.)  But if you do that, its PRESSURE will increase by 10x.

-- If you want to keep the pressure of the gas constant while it gets 10x hotter, then you'll have to let it expand to 10x its original volume.

Also, by the way, the question doesn't mean you just multiply the Celsius or Fahrenheit temperature by 10.  When you're playing with the pressure, volume, and temperature of a gas, it's the ABSOLUTE temperature you need to look at ... like Kelvins, or (Celsius+273°), or (Fahrenheit+460°).