Question

mudou-se a temperatura de 20 l de gás hidrogênio e o valor encontrado foi de 27 ¤c a 700mmhg. O novo volume desse gás, a 87 C e 600mmhg de pressão, será de?

Answer 1

$Ola'~~~\mathbb{MYLLENA} \\ \\ A~relac\~ao~do~gais~ideal~e': \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\boxed{ \frac{V_0.P_0}{T_0} =\frac{V.P}{T} } \\ \\ ~Dados: \\ V_0=20L \\ P_0=700mmhg \\ T_0=27\°C~~--\ \textgreater \ pasamos~a~kelvin=\ \textgreater \ 273,15+27=300,15K \\ V=? \\ P=600mmhg \\ T=87\°C~--\ \textgreater \ pasamos~a~kelvin=\ \textgreater \ 273,15+87=360,16K \\ \\ Substituindo~dados~na~relac\~ao~temos:$

$\frac{20.700}{300,15}= \frac{V.600}{360,15}~~--\ \textgreater \ isolando~(V)~temos: \\ \\ V= \frac{20_{X}700_{X}360,15}{300,15_{X}600} \\ \\ V= \frac{5042100}{180090}~~--\ \textgreater \ divindo~fica \\ \\ V= 27,99766783.....~~~---\ \textgreater \ aredondando~seria \\ \\\boxed{ \boxed{V=28L}}~~---\ \textgreater \ volume~final \\ \\ \mathbb{aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa}\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Espero~ter~ajudado!!$