Question

7
numeric 1 point
solve for the unknown variable.
$p_{1}=600mmhg$
$v_{1}=2.5l$
$t_{1}=295k$
$p_{2}=760mmhg$
$v_{2}=1.8l$
$t_{2}=??$
round to 3 sig figs. do not include units.
answer

previous

Explanation:

Step1: Use the combined gas law formula

The combined gas law is \(\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}\). We need to solve for \(T_2\), so we can re - arrange the formula to \(T_2=\frac{P_2V_2T_1}{P_1V_1}\).

Step2: Substitute the given values

Substitute \(P_1 = 600\), \(V_1=2.5\), \(T_1 = 295\), \(P_2 = 760\), and \(V_2 = 1.8\) into the formula:
\(T_2=\frac{760\times1.8\times295}{600\times2.5}\)
First, calculate the numerator: \(760\times1.8\times295=(760\times1.8)\times295 = 1368\times295=403560\)
Then, calculate the denominator: \(600\times2.5 = 1500\)
So, \(T_2=\frac{403560}{1500}\)

Step3: Perform the division

\(T_2=\frac{403560}{1500}=269.04\)

Answer:

\(269\)