Question

the quantity PV/T must be held constant and both P and V are doubled, the value of T will necessarily have to,

Answer 1

Quadruple
Since we double both P and V in the numerator, the denominator (T) has to be doubled twice, or quadrupled (multiplied by 4)


Example:

P1 = 5
V1 = 2
T1 = 10
5*2/10 = 1

P2 = 5*2 = 10
V2 = 2*2 = 4
T2 = 10*4 = 40
10*4/40 = 40