Please Help? If $\ P_1=2.00*10^5 $, solve these simultaneous equations for $\ P_2 $:
$\ T_2=3T_1 $,
$\ P_1V_1^\frac{5}{3} = P_2V_2^\frac{5}{3} $,
$\ \frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2} $?

Question

Please Help? If $\ P_1=2.00*10^5 $, solve these simultaneous equations for $\ P_2 $: 
$\ T_2=3T_1 $,
$\ P_1V_1^\frac{5}{3} = P_2V_2^\frac{5}{3} $,
$\ \frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2} $?

anonymous · Answer

If $\ \Large P_1=2.00*10^5 \text{solve these simultaneous equations for } P_2 $: 
$\ T_2=3T_1 $,
$\ P_1V_1^\frac{5}{3} = P_2V_2^\frac{5}{3} $,
$\ \frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2} \text{?}$

anonymous · Answer

$\ P_1=2.00*10^5 $,
E1)$\ P_2 $: $\ T_2=3T_1 $,
E2)$\ P_1V_1^\frac{5}{3} = P_2V_2^\frac{5}{3}$
E3)$\frac {P_1V_1}{T_1} = \frac {P_2V_2}{T_2}$
.....
E1) $\frac{T_2}{T_1}=3$
E2) $\frac {P_2}{P1} = (\frac{V_1}{V_2})^\frac{5}{3}$
     $(\frac {P_2}{P_1})^\frac{3}{5} = \frac{V_1}{V_2}$
E3) $\frac{V_1}{V_2}\frac{T_2}{T_1} = \frac {P_2}{P_1}$
Put (E1) and (E2) into E(3)
     $3(\frac {P_2}{P_1})^\frac{3}{5} = \frac {P_2}{P_1}$
Now solve for $P_2$ normally since you already know $P_1$

anonymous · Answer

@NicoMiko $\ \Huge \text{Thanks!!!} $