The pressure of a gas remains constant while the temperature, volume, and internal energy of the gas increase by 57.7 co, 1.24 x 10⁻³ m³, and 843 j, respectively. the mass of the gas is 21.6 g, and its specific heat capacity (at constant pressure) is 1080 j/(kg co). determine the pressure.

P = 405.67 kPa

Explanation:

given,

change in temperature = 57.7 °C

volume of the gas = 1.24 x 10⁻³ m³

Internal energy of the = 843 J

Cp = 1080 J/Kg.C°

mass = 21.6 g

heat capacity

Q = m Cp ΔT

Q = 0.0216 x  1080 x 57.7

Q = 1346.025 J

according to first law of thermodynamics

U = Q + W

W = Q - ΔU

PΔV = Q - ΔU

PΔV = 1346.025 - 843

P x  1.24 x 10⁻³  = 503.0256

P = 405.67 x 10³ Pa

P = 405.67 kPa

The pressure of the gas is equal to P = 405.67 kPa

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50