All Solutions
Page 349: Lesson Check
Therefore the correct choice is: The average kinetic energy of particles in a substance increases with increase in temperature.
* The temperature will be same
* Net heat or thermal energy flow will be zero.
begin{enumerate}
item A system is said to be in thermal equilibrium when its temperature is constant.\
item There is no net transfer of energy in thermal equilibrium.\
end{enumerate}
$$
begin{equation*}
T_c = frac{5}{9} cdot left(T_f – 32 right)
end{equation*}
$$
Inserting we have:
$$
begin{align*}
T_c &= frac{5}{9} left(4500 – 32 right) \
T_c &= 2482.2 text{textdegree} C
end{align*}
$$
begin{equation*}
T_c = 2482.2 text{textdegree} C
end{equation*}
$$
$$
T_C = dfrac{5}{9}left( {T_F – 32} right)
$$
Thus for changes, formula will be
$$
Delta T_C = dfrac{5}{9}(Delta T_F)
$$
Where $T_F = 35text{ }^circ text{F}$
$$
begin{align*}
Delta T_C &= dfrac{5}{9}(Delta T_F)
\
Delta T_C &= dfrac{5}{9}(35)\
\
Delta T_C &= boxed{19.4text{ }^circ text{C}}\
end{align*}
$$
$$
T = T_C + 273.15
$$
Thus the formula for changes will be
$$
begin{align*}
Delta T &= Delta T_C \
\
T &= boxed{19.4text{ K}}\
end{align*}
$$
$$
19.4 text{ K}
$$
Since the following formula holds
$$
begin{equation*}
T_f = frac{9}{5} cdot T_c + 32
end{equation*}
$$
We see that the changes on different units are related as follows:
$$
begin{align*}
Delta T_f &= frac{9}{5} cdot Delta T_c \
Delta T_f &= 52.2 F \
end{align*}
$$
From the formula for Kelvin we get:
$$
begin{align*}
Delta T &= Delta T_c \
Delta T &= 29 K
end{align*}
$$
item
$Delta T_f = 52.2 F$
item
$Delta T = 29 K$
end{enumerate}