at a given temperature pressure of a gas is reduces to 75% of its initial value and the volume increases by 40% of its initial value. find this temperature of the initial temperature was -10 degree celcius
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this is a question where you have multiple equations but not enough information to solve any one so you have to solve them all together.
the first one is that n is the amount of gas. n1 = n2 where 1 and 2 refer to the initial state and the final state respectively.
SO, n1=n2
now according to the ideal gas law,
n1 = P1V1/RT1 and n2 = P2V2/RT2
or, because of equation 1, we can simplify to just
P1V1/T1 = P2V2/T2 (R cancels out because it’s the same on both sides of the equation.
Now, you said the volume increased by 50% so V2 = 1.5V1
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