Question

An air-standard Otto cycle has a compression ratio of 6 and the temperature and pressure at the beginning of the compression process are 520 deg R and 14.2 lbf/in^2, respectively. The heat addition per unit mass of air is 600 Btu/lb. Determine (a) the maximum temperature, in deg R.

Answer 1

Answer:

The maximum temperature of the cycle is 1065⁰R

Explanation:

The maximum temperature in degree Rankin can be obtained using the formula below;

$\frac{T_2}{T_1} =[\frac{V_1}{V_2}]^{1.4-1}$

Where;

T₂ is the  maximum temperature of the cycle

T₁ is the initial temperature of the cycle = 520 deg R = 520 ⁰R

V₁/V₂ is the compression ratio = 6

$T_2 = T_1(\frac{V_1}{V_2})^{0.4}$

$T_2=T_1(6)^{0.4}$

$T_2=520^0R(6)^{0.4}$

T₂ = 1064.96 ⁰R

Therefore, the maximum temperature of the cycle is 1065⁰R