A flask that can withstand an internal pressure of 2511 torr, but no more, is filled with a gas at 21.0°C and 758 torr and heated. At what temperature will it burst?

i used P1/x=P2/T2 and got 69.6 degrees Celsius. what is wrong

use kelvin, not celsius

To determine the temperature at which the flask will burst, you are correct in using the formula known as the combined gas law, which relates the initial and final pressure and temperature of a gas. However, there seems to be an error in your calculation.

The combined gas law formula is usually written as:

(P1 * V1) / (T1) = (P2 * V2) / (T2)

where P1 and P2 are the initial and final pressures, V1 and V2 are the initial and final volumes (which in this case are constant since the flask is not changing in size), and T1 and T2 are the initial and final temperatures.

In this scenario, we are given:

P1 = 758 torr
P2 = 2511 torr
T1 = 21.0°C

We want to solve for T2, the temperature at which the flask will burst, so the equation becomes:

(758 torr * V1) / (21.0°C) = (2511 torr * V1) / (T2)

Since the volume is constant, V1/V2 cancels out. Let's simplify the equation:

(758 torr) / (21.0°C) = (2511 torr) / (T2)

Now, let's solve for T2 by cross-multiplying:

(758 torr) * (T2) = (2511 torr) * (21.0°C)

T2 = [(2511 torr) * (21.0°C)] / (758 torr)

T2 ≈ 69.91°C

Therefore, the correct answer is approximately 69.91°C. It seems like you made a calculation error when dividing 2511 torr by T2, resulting in the slightly different value you got.