Question

in physics, the equation ( pv = nrt ) is called the ideal gas law. it is used to approximate the behavior of many gases under different conditions.

( p ), ( v ), and ( t ) represent pressure, volume, and temperature, ( n ) represents the number of moles of gas, and ( r ) is a constant for the ideal gas.

which equation is solved for ( t )?

a ( \frac{pv}{r}=nt )
b ( \frac{pv}{nr}=t )
c ( t = pv - nr )
d ( pvnr = t )

Explanation:

Step1: Isolate \( T \)

Given \( PV=nRT \), divide both sides by \( nR \).
$$\frac{PV}{nR}=\frac{nRT}{nR}$$

Step2: Simplify

Simplify the right - hand side. Since \( \frac{nRT}{nR}=T \) (the \( nR \) terms cancel out).

Answer:

B. \( \frac{PV}{nR}=T \)