Question

given the equation pv = nrt, rearrange the equation to solve for t. answer options: t = nr - pv, t = nr/pv, t = nrpv, t = nr + pv, t = pv/nr, i dont know yet

Explanation:

Step1: Start with the given equation

We have the ideal gas law equation \( PV = nRT \).

Step2: Isolate T by dividing both sides by \( nR \)

To solve for \( T \), we divide each side of the equation by \( nR \). So, \( \frac{PV}{nR}=\frac{nRT}{nR} \).

Step3: Simplify the right - hand side

On the right - hand side, \( nR \) in the numerator and denominator cancels out (since \( \frac{nRT}{nR}=T \) when \( n
eq0 \) and \( R
eq0 \)). So we get \( T = \frac{PV}{nR} \).

Answer:

The correct option is the one with \( T=\frac{PV}{nR} \) (the fifth option in the list of answer choices: \( T = PV/nR \)).