Question

from unit 2, lesson 9
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 ( pvr = t )

Explanation:

Step1: Solve the ideal gas law for \(T\)

Given the ideal gas law \(PV = nRT\).
To solve for \(T\), divide both sides of the equation by \(nR\).

$$
LATEXBLOCK0
$$

Step2: Simplify the right - hand side

The \(nR\) terms on the right - hand side cancel out.

$$ T=\frac{PV}{nR} $$

Answer:

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