Question

finally, youre ready to solve this equation. the variable you need to know is t2 or the temperature of the gas in the new container. to do this, remember to complete the operations following pemdas.

\\(\frac{2.0\times1.2}{301}=\frac{4.0\times0.50}{t_{2}}\\)

the first thing you will notice is that the left side of the equation has no variables at all and can immediately be simplified.

simplify the left side of the equation by multiplying the values in the numerator and dividing by the denominator. also simplify the numerator on the right side of the equation.

\\(\frac{p_{1}v_{1}}{t_{1}}=\frac{p_{2}v_{2}}{t_{2}}\
ightarrow\frac{}{}=\frac{}{t_{2}}\\)

Explanation:

Step1: Simplify left - hand side

Calculate $\frac{2.0\times1.2}{301}=\frac{2.4}{301}\approx0.007973$.

Step2: Simplify right - hand side numerator

Calculate $4.0\times0.50 = 2.0$.

Step3: Cross - multiply

We have $0.007973=\frac{2.0}{T_2}$, so $0.007973T_2 = 2.0$.

Step4: Solve for $T_2$

$T_2=\frac{2.0}{0.007973}\approx251$.

Answer:

$T_2\approx251$