How to Calculate and Solve for Volume of Superheated Steam | Enthalpy

Last Updated on April 25, 2022

The volume of superheated steam is illustrated by the image above.

To compute for volume of superheated steam, three essential parameters are needed and these parameters are Specific Volume of Dry Steam (u_g), Superheated Temprature (t_sup) and Saturated Temprature (t_s).

The formula for calculating the volume of superheated steam:

v_sup = ^u_gT_sup / _Ts

Where:

v_sup = Volume of Superheated Steam
u_g = Specific Volume of Dry Steam
T_sup = Superheated Temprature
T_s = Saturated Temprature

Let’s solve an example;
Find the volume of superheated steam when the specific volume of dry steam is 32, the superheated temperature is 24 and the saturated temperature is 14.

This implies that;

u_g = Specific Volume of Dry Steam = 32
T_sup = Superheated Temprature = 24
T_s = Saturated Temprature = 14

v_sup = ^u_gT_sup / _Ts
vsup = ^{32 x 24} / ₁₄
vsup = ⁷⁶⁸ / ₁₄
vsup = 54.85

Therefore, the volume of superheated steam is 54.85 m³.

Calculating the Specific Volume of Dry Steam when the Volume of Superheated Steam, the Superheated Temperature and the Saturated Temperature is Given.

u_g = ^{v_sup x T_s} / _Tsup

Where:

u_g = Specific Volume of Dry Steam
v_sup = Volume of Superheated Steam
T_sup = Superheated Temprature
T_s = Saturated Temprature

Let’s solve an example;
Find the specific volume of dry steam when the volume of superheated steam is 10, the superheated temperature is 4 and the saturated temperature is 8.

This implies that;

v_sup = Volume of Superheated Steam = 10
T_sup = Superheated Temprature = 4
T_s = Saturated Temprature = 8

u_g = ^{v_sup x T_s} / _Tsup
u_g = ^{10 x 8} / ₄
u_g = ⁸⁰ / ₄
u_g = 20

Therefore, the specific volume of dry steam is 20 m³.

Calculating the Superheated Temperature when the Volume of Superheated Steam, the Specific Volume of Dry Steam and the Saturated Temperature is Given.

T_sup = ^{v_sup x T_s} / _ug

Where:

T_sup = Superheated Temprature
v_sup = Volume of Superheated Steam
u_g = Specific Volume of Dry Steam
T_s = Saturated Temprature

Let’s solve an example;
Find the superheated temperature when the volume of superheated steam is 24, the specific volume of dry steam is 10 and the saturated temperature is 6.

This implies that;

v_sup = Volume of Superheated Steam = 24
u_g = Specific Volume of Dry Steam = 10
T_s = Saturated Temprature = 6

T_sup = ^{v_sup x T_s} / _ug
T_sup = ^{24 x 6} / ₁₀
T_sup = ¹¹⁴ / ₁₀
T_sup = 11.4

Therefore, the superheated temperature is 11.4 m³.

Calculating the Saturated Temperature when the Volume of Superheated Steam, the Specific Volume of Dry Steam and the Superheated Temperature is Given.

T_s = ^{u_g x T_sup} / _vsup

Where:

T_s = Saturated Temprature
v_sup = Volume of Superheated Steam
u_g = Specific Volume of Dry Steam
T_sup = Superheated Temprature

Let’s solve an example;
Find the saturated temperature when the volume of superheated steam is 12, the specific volume of dry steam is 10 and the superheated temperature is 6.

This implies that;

v_sup = Volume of Superheated Steam = 12
u_g = Specific Volume of Dry Steam = 10
T_sup = Superheated Temprature = 6

T_s = ^{u_g x T_sup} / _vsup
T_s = ^{10 x 6} / ₁₂
T_s = ⁶⁰ / ₁₂
T_s = 5

Therefore, the saturated temperature is 5 m³.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the volume of superheated steam.

Now, Click on Chemical Reaction Thermodynamics under Materials and Metallurgical

Now, Click on Enthalpy under Chemical Reaction Thermodynamics

Now, Click on Volume of Superheated Steam under Enthalpy

The screenshot below displays the page or activity to enter your values, to get the answer for the volume of superheated steam according to the respective parameter which is the Specific Volume of Dry Steam (u_g), Superheated Temprature (t_sup) and Saturated Temprature (t_s).

Now, enter the values appropriately and accordingly for the parameters as required by the Specific Volume of Dry Steam (u_g) is 32, Superheated Temprature (t_sup) is 24 and Saturated Temprature (t_s) is 14.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the volume of superheated steam and presents the formula, workings and steps too.