At the beginning of the compression process of an air-standard otto cycle, p1 = 1 bar and t1 = 300 k. the compression ratio is 8.5 and the heat addition per unit mass of air is 1400 kj/kg. determine the maximum temperature of the cycle in kelvin (input a number only). do not assume specific heats are constant. there is a ±5% tolerance.

Maximum temperature of the cycle is 2231.3 K

Explanation:

See table (values there do not assume constant specific heat) and figure attached.

Assuming ideal gas behaviour, p1*v1 = p2*v2, rearranging p2/p1 = v1/v2

Data

(compression ratio)

 (heat addition)

We can use the following relationship  for air

is only function of temperature and can be taken from table. In this case:

Rearranging previous equation

Interpolating from table

Energy balance in the process 2-3 gives

Interpolating from table

the equation above shows how temperature f, measured in degrees fahrenheit, relates to a temperature c, measured in degrees celsius. based on the equation, which of the following must be true?

a temperature increase of 1 degree fahrenheit is equivalent to a temperature increase of

5

9

degree celsius.

a temperature increase of 1 degree celsius is equivalent to a temperature increase of 1.8 degrees fahrenheit.

a temperature increase of

5

9

degree fahrenheit is equivalent to a temperature increase of 1 degree celsius.

a) i only

b) ii only

c) iii only

d) i and ii only