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Required information

A closed, nonconducting, horizontal cylinder is fitted with a nonconducting, frictionless, floating piston that divides the cylinder into Sections A and $B.$ The two sections contain equal masses of air, initially at the same conditions $T_O=260K$ and $P_O=1$atm. An electrical heating element in Section $A$ is activated, and the air temperatures slowly increase: $T_A$ in Section A because of heat transfer and $T_B$ in Section $B$ because of adiabatic compression by the slowly moving piston. Treat air as an ideal gas with $C_P=\frac{7}{2}R,$ and let $n_A$ be the number of moles of air in Section $A.$ The values of $R$ are given in the following table:

Values of the Universal Gas Constant

$R=8\mathrm{.}314J*mo{l}^{-1}*K^{-1}=8\mathrm{.}314m^3*Pa*mo{l}^{-1}*K^{-1}$

$=83\mathrm{.}14c{m}^3\frac{*}{b}ar*mo{l}^{-1}*K^{-1}=8314c{m}^3*kP{a}^{-1}*mo{l}^{-1}*K^{-1}$

$=82\mathrm{.}06c{m}^3*(atm)*mo{l}^{-1}{K}^{-1}=62,356c{m}^3*(torr)*mo{l}^{-1}*K^{-1}$

$=1\mathrm{.}987(cal)*mo{l}^{-1}*K^{-1}=1\mathrm{.}986(Btu)(lbmole{)}^{-1}(R{)}^{-1}$

$=0\mathrm{.}7302(ft{)}^3(atm)(lbmol{)}^{-1}(R{)}^{-1}=10\mathrm{.}73(ft{)}^3(a)(lbmol{)}^{-1}(R{)}^{-1}$

$=1545(ft)(l{b}_f)(lbmol{)}^{-1}(R{)}^{-1}$

Evaluate final$),T_A,$ and $\frac{Q}{n}A$ if $T_B=325K.$

The value of $T_A$ is K$.$

The value of final$)$ is atm.

The value of $\frac{Q}{n_A}$ is $J*mo{l}^{-1}.$