Answer
a) $258.8^{\circ}F$, $399.15 K$
b) $177^{\circ}C$
Work Step by Step
a) In converting from Celsius to Fahrenheit, the formula is
$$T(^{\circ}F)=\frac{9}{5}\times T(^{\circ}C)+32$$
Substituting,
$$T(^{\circ}F)=\frac{9}{5}\times (126)+32$$
$$T(^{\circ}F)=226.8+32$$
$$T(^{\circ}F)=258.8^{\circ}F$$
Converting temperature from Celsius to Kelvin, we use the formula
$$T(K)=T(^{\circ}C)+273.15$$
Substituting,
$$T(K)=126+273.15$$
$$T(K)=399.15 K$$
b) In converting from Fahrenheit to Celsius, the formula is
$$T(^{\circ}C)=\frac{5}{9}\times(T(^{\circ}F)-32)$$
Substituting,
$$T(^{\circ}C)=\frac{5}{9}\times(350-32)$$
$$T(^{\circ}C)=\frac{5}{9}\times(318)$$
$$T(^{\circ}C)=177^{\circ}C$$
