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Answer:

To solve this problem, we can use the combined gas law, which relates the pressure, volume, and temperature of a gas.

The combined gas law is given by:

(P1 × V1) / T1 = (P2 × V2) / T2

where P1, V1, and T1 are the initial pressure, volume, and temperature, respectively, and P2, V2, and T2 are the final pressure, volume, and temperature, respectively.

We are given that 35 L of CO2 is produced at a temperature of 1000 °C, which we can convert to Kelvin by adding 273.15:

T1 = 1000 + 273.15 = 1273.15 K

We are also told that the CO2 is allowed to reach room temperature, which is 25.0 °C, or 298.15 K:

T2 = 298.15 K

We want to find the new volume of the CO2, V2, when the temperature has decreased from T1 to T2, assuming that there are no pressure changes. Therefore, we can set P1 = P2 and solve for V2:

(P1 × V1) / T1 = (P2 × V2) / T2

P1 and P2 cancel out:

V2 = (P1 × V1 × T2) / (T1)

Substituting the given values, we get:

V2 = (1 atm × 35 L × 298.15 K) / (1273.15 K)

V2 = 8.13 L

Therefore, the new volume of the carbon dioxide at room temperature is approximately 8.13 L.