A glass window pane is exactly 23 cm by 38 cm at 10oC. By how much has its area increased when it temperature is 49oC, assuming that it can expand freely? Take the coefficient of thermal expansion for the glass to be exactly 9 x 10-6/Co

IMPOSTER

To find the increase in area of the glass window pane, we first need to calculate the change in length and width of the pane due to the change in temperature.

The formula to calculate the change in length or width is given by:
ΔL = L₀ * α * ΔT

Where:
ΔL is the change in length or width
L₀ is the initial length or width
α is the coefficient of thermal expansion
ΔT is the change in temperature

Let's calculate the change in length first:

ΔL = L₀ * α * ΔT
= 23 cm * (9 x 10^-6/°C) * (49°C - 10°C)
= 23 cm * 9 x 10^-6/°C * 39°C
= 0.00837 cm

Now let's calculate the change in width using the same formula:

ΔW = W₀ * α * ΔT
= 38 cm * (9 x 10^-6/°C) * (49°C - 10°C)
= 38 cm * 9 x 10^-6/°C * 39°C
= 0.01302 cm

To find the change in area, we multiply the change in length by the change in width:

ΔA = ΔL * ΔW
= 0.00837 cm * 0.01302 cm
= 0.000109 cm²

Therefore, the area of the glass window pane will increase by approximately 0.000109 cm² when its temperature increases from 10°C to 49°C.

Lol noob. Do your homework