Acetylene (C₂H₂) can be produced through a chemical reaction between water (H₂O) and calcium carbide (C_aC₂):where (s) and (l) indicate whether the substance is solid or liquid. A cave explorer considers using an acetylene torch, known to consume this gas at a volume rate of V^˙ (at standard conditions of temperature and pressure). As the expedition is due to last a time t, find the amount of calcium carbide that the explorer would need if he chose this type of light source. Determine the amount of water used by this torch during this time.Numerical Application:

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CaC2 (s) + 2 H₂O (1)→ C₂H₂(g) + Ca(OH)₂ (s)