You have exactly 1 L of ethyl alcohol at room temperature 23 C. You put it in a refrigerator at 4 C.What's its new volume?

p1•V1/T1 = p2•V2/T2,

p1=p2.
V1/T1 = V2/T2,
V2 = V1•T2/T1 =1•277/296 =0.936 L

To calculate the new volume of the ethyl alcohol after being put in the refrigerator, we can use the concept of thermal expansion.

The coefficient of volume expansion for ethyl alcohol is approximately 1.0 x 10^(-3) per degree Celsius.

The initial volume of the ethyl alcohol is 1 L, and the initial temperature is 23°C.

The final temperature after being put in the refrigerator is 4°C.

To find the new volume, we can use the formula:

V2 = V1 * (1 + β * (T2 - T1))

Where:
V2 is the new volume
V1 is the initial volume
β is the coefficient of volume expansion
T1 is the initial temperature
T2 is the final temperature

Plugging in the values, we have:

V2 = 1 L * (1 + 1.0 x 10^(-3) * (4°C - 23°C))

Calculating this expression gives us:

V2 = 1 L * (1 + 1.0 x 10^(-3) * (-19°C))

V2 = 1 L * (1 - 0.019)

V2 = 1 L * (0.981)

V2 = 0.981 L

Therefore, the new volume of the ethyl alcohol after being put in the refrigerator is approximately 0.981 L.

To find the new volume of the ethyl alcohol after being put in the refrigerator at 4°C, we can use the principle of thermal expansion.

The volume expansion of a liquid can be calculated using the formula:

V2 = V1 × (1 + β × (T2 - T1))

Where:
V1 = Initial volume (1 L)
V2 = Final volume (unknown)
T1 = Initial temperature (23°C)
T2 = Final temperature (4°C)
β = Coefficient of volume expansion for the liquid (in this case, ethyl alcohol)

The coefficient of volume expansion, β, can be found in reference sources or textbooks. For ethyl alcohol, the coefficient is approximately 0.0012 per degree Celsius.

Now, let's substitute the values into the formula:

V2 = 1 L × (1 + 0.0012 per°C × (4°C - 23°C))

Calculating the equation:

V2 = 1 L × (1 + 0.0012 per°C × (-19°C))

V2 = 1 L × (1 + -0.0228)

V2 = 1 L × (0.9772)

V2 ≈ 0.98 L

Therefore, the new volume of the ethyl alcohol in the refrigerator at 4°C is approximately 0.98 L.